=3t^2-10t+50

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Solution for =3t^2-10t+50 equation: 


Simplifying
0 = 3t2 + -10t + 50

Reorder the terms:
0 = 50 + -10t + 3t2

Solving
0 = 50 + -10t + 3t2

Solving for variable 't'.

Combine like terms: 0 + -50 = -50
-50 + 10t + -3t2 = 50 + -10t + 3t2 + -50 + 10t + -3t2

Reorder the terms:
-50 + 10t + -3t2 = 50 + -50 + -10t + 10t + 3t2 + -3t2

Combine like terms: 50 + -50 = 0
-50 + 10t + -3t2 = 0 + -10t + 10t + 3t2 + -3t2
-50 + 10t + -3t2 = -10t + 10t + 3t2 + -3t2

Combine like terms: -10t + 10t = 0
-50 + 10t + -3t2 = 0 + 3t2 + -3t2
-50 + 10t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-50 + 10t + -3t2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
16.66666667 + -3.333333333t + t2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -3.333333333t + -16.66666667 + t2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -3.333333333t + t2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -3.333333333t + t2 = 0 + -16.66666667
-3.333333333t + t2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-3.333333333t + t2 = -16.66666667

The t term is -3.333333333t.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333t + 2.777777779 + t2 = -16.66666667 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333t + t2 = -16.66666667 + 2.777777779

Combine like terms: -16.66666667 + 2.777777779 = -13.888888891
2.777777779 + -3.333333333t + t2 = -13.888888891

Factor a perfect square on the left side:
(t + -1.666666667)(t + -1.666666667) = -13.888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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